Article ID Journal Published Year Pages File Type
4602817 Linear Algebra and its Applications 2006 25 Pages PDF
Abstract

We discuss permutation representations which are obtained by the natural action of Sn × Sn on some special sets of invertible matrices, defined by simple combinatorial attributes. We decompose these representations into irreducibles. The multiplicities involved have a nice combinatorial interpretation. We also generalize known results on asymptotic behavior of the conjugacy representation of Sn.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory